Constraining tensor force terms with the charge radii difference of mirror-pair nuclei

Abstract

Charge radii differences of mirror partner nuclei provide an alternative probe to pin down the interaction components in asymmetric nuclear matter. In this work, the differences in the charge radii of almost spherical mirror-paired nuclei $^{54}$Ni-$^{54}$Fe and $^{36}$Ca-$^{36}$S are used to constrain the magnitude of tensor terms in the Skyrme interactions. The calculated results suggest that a linear correlation can be found between the difference of charge radii of mirror partner nuclei and the adopted strengths of the triplet-odd and triplet-even tensor components. Besides, it suggests that charge radii differences of mirror-paired nuclei are more sensitive to the adopted strengths of the triplet-odd parameter $U$ rather than the triplet-even parameter $T$. Combining the quantitative constraint strengths of the triplet-even tensor part obtained from the magnetic dipole (M1) excitations, the charge-exchange Gamow-Teller (GT) states, and the spin-dipole (SD) excitations, the triplet-odd strengths are further constrained for the SLy5 as well as SGII effective interactions. This provides an alternative approach to constrain the appropriate magnitude of tensor force.